Question
Gagan and Magan have their monthly incomes in the ratio
of 9:7 while their monthly expenditures are in the ratio of 6:5, if they have saved Rs. 23,400 and 16,700 monthly respectively, then the difference in their monthly income is:Solution
Let the monthly income of Gagan and Magan be 9x and 7x respectively According to the question, (9x - 23400)/(7x - 16700) = 6/5 45x - 117000 = 42x - 100200 3x = 16800 x = 5600 Difference in Monthly Income = (9x - 7x) = 2 × 5600 = Rs. 11,200
Solve for x in the equation: 3(x + 2) + 2(2x - 5) = 5x + 9

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